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Finding the Fourth Proportional to 123,336.48, 184,893.99 and 102,411

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Solution

The fourth proportional to 123,336.48, 184,893.99 and 102,411 is: 153,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,336.48 : 184,893.99 = 102,411 : x
  2. Step 2: Convert to fraction form
    123,336.48/184,893.99 = 102,411/x
  3. Step 3: Cross multiply
    123,336.48x = 184,893.99 × 102,411
  4. Step 4: Simplify right side
    123,336.48x = 18,935,178,409.89
  5. Step 5: Solve for x
    x = 18,935,178,409.89/123,336.48
  6. Step 6: Final answer
    x = 153,524.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.